# P.o.t.W. #13 Solution

If the three angles of the triangle form an arithmetic sequence, then the middle angle must be $$60^\circ$$.This can be explained as follows. Let the three angles be $${\theta _1},{\theta _2}$$ and $${\theta _3}$$, in order from smallest to largest. Given that the angles are consecutive terms of an arithmetic sequence, then $${\theta _1}$$ can be expressed as $${\theta _1} = {\theta _2} - d$$ and $${\theta _3}$$ can be expressed as $${\theta _3} = {\theta _2} + d$$. Since the sum of the angles must be $$180^\circ$$,...

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